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Finding the Third Proportional to 420,142 and 628,746

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Solution

The third proportional to 420,142 and 628,746 is: 940,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,142 : 628,746 = 628,746 : x
  2. Step 2: Convert to fraction form
    420,142/628,746 = 628,746/x
  3. Step 3: Cross multiply
    420,142x = 628,746 × 628,746
  4. Step 4: Simplify right side
    420,142x = 395,321,532,516
  5. Step 5: Solve for x
    x = 395,321,532,516/420,142
  6. Step 6: Final answer
    x = 940,923.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.